Synopses & Reviews
Everything You'll Need to Create Thousands of Fractals! Fractals are the name given to certain types of iterated equations that produce very strange results and are capable of creating unusual and beautiful patterns. Creating Fractals describes the characteristics and mathematical background of fractals and shows the reader how the accompanying fractal-generating program is used to produce thousands of different kinds of fractals, to enlarge them, to color them, and to save them-- without any knowledge of computers or programming. The program works with any computer using Windows. In addition to producing artistic effects, the reader can gain an understanding of how each type of fractal is created and how it might be used to treat natural phenomena, e.g., the turbulence of liquids, the behavior of the stock market, and the compression of graphic images. Mathematical terminology is explained in elementary terms.
This book teaches the characteristics and mathematics behind fractal creations, and includes fractal images that give the user examples of what fractals are and how they can be made. The CD-ROM includes a fractal-generating program, as well as over 100 example fractal images and all their source code.
About the Author
Stevens is a veteran graphics programmer and author of several books, including Graphics Programming with JAVA, 2E. He holds a Ph.D. in electrical engineering and resides in New Mexico.
Table of Contents
CHAPTER 1 INTRODUCTION CHAPTER 2 WHAT ARE FRACTALS? CHAPTER 3 THE LORENZ AND OTHER STRANGE ATTRACTORS CHAPTER 4 WHAT YOU CAN DO WITH L-SYSTEM FRACTALS CHAPTER 5 THE SNOWFLAKE AND OTHER VON KOCH CURVES CHAPTER 6 PEANO CURVES CHAPTER 7 GENERATORS WITH DIFFERENT SIZED LINE SEGMENTS CHAPTER 8 THE HILBERT CURVE CHAPTER 9 FASS CURVES CHAPTER 10 TREES CHAPTER 11 CREATING YOUR OWN L-SYSTEM FRACTALS CHAPTER 12 NEWTONS METHOD CHAPTER 13 WHAT YOU CAN DO WITH MANDELBROT-LIKE AND JULIA-LIKE FRACTALS CHAPTER 14 THE MANDELBROT AND JULIA SETS CHAPTER 15 WORKING WITH COLORS CHAPTER 16 FRACTALS WITH THE LOGISTIC EQUATION CHAPTER 17 FRACTALS USING TRANSCENDENTAL FUNCTIONS CHAPTER 18 FRACTALS USING ORTHOGONAL POLYNOMIALS CHAPTER 19 CREATING YOUR OWN SECOND-ORDER TO SEVENTH-ORDER EQUATIONS CHAPTER 20 PHOENIX CURVES CHAPTER 21 THE MANDELA AND POKORNY FRACTALS CHAPTER 22 FRACTALS USING CIRCLES CHAPTER 23 BARNSLEY FRACTALS CHAPTER 24 ITERATED FUNCTION SYSTEMS CHAPTER 25 MIDPOINT DISPLACEMENT FRACTALS ABOUT THE CD-ROM INDEX